|Date of birth||18 December 1989|
|Place of birth||Osijek, SFR Yugoslavia|
|Height||1.94 m (6 ft 4 1⁄2 in)|
|Playing position||Centre back|
|2008–2009||→ Slavonac CO (loan)||22||(0)|
|* Senior club appearances and goals counted for the domestic league only and correct as of 29 May 2016
‡ National team caps and goals correct as of 16 April 2008
Vrgoč started his career playing at youth level for his hometown club Osijek. He was loaned to Druga HNL side Slavonac CO for the 2008–09 season and helped them secure a promotion spot to the Prva HNL. However, after they were unable to find a suitable ground for hosting matches, Slavonac CO were demoted to first county league. In September 2009, Vrgoč sustained a cruciate ligament injury during the preparations for the upcoming season. He underwent three surgeries during the period of one year and missed out 2009–10 season. Manager Branko Karačić, who previously coached Vrgoč in Slavonac CO, included him in the team that underwent mid-season preparations in Turkey for the second part of the 2010–11 season. He made his debut for the first team in a goalless draw against Lokomotiva on 25 February 2011.
|Slavonac CO (loan)||2008–09||22||0||–||–||22||0|
- Liga Leumit
- Winner (1): 2016-17
- Keler, Dalibor (14 July 2010). "Zoran Kvržić novo pojačanje Osijeka?". Glas-Slavonije.hr (in Croatian). Retrieved 14 May 2011.
- Keler, Dalibor (15 February 2011). "Ozljede već godinu dana odgađaju Vrgočev debi u bijelo-plavom dresu". Glas-Slavonije.hr (in Croatian). Retrieved 14 May 2011.
- Keler, Dalibor (26 January 2011). "Špehar: Nećemo prodati ni jednog ključnog igrača". Glas-Slavonije.hr (in Croatian). Retrieved 14 May 2011.
- Keler, Dalibor (1 February 2011). "Gavrić zadnji vezni, Vrgoč i Smoje stoperi". Glas-Slavonije.hr (in Croatian). Retrieved 14 May 2011.
- Plavčić, Mario (25 February 2011). "Bez pogodaka u Maksimiru". Glas-Slavonije.hr (in Croatian). Retrieved 14 May 2011.